Terminology (power)

Hello all. I recently read something that has me a bit confused. Consider a single-phase 100kVA transformer that supplies a 40kW heating load at unity power factor. What is meant by "how much additional kW of inductive load at 0.8 power factor can the transformer carry" mean? Is it asking how much more real power will the supply be transferring to the load given it is no longer unity?
Seems odd talking about a transformer "carrying" kiloWatts.

Word problems are best parsed carefully.
Word problem authors dont always give the facts in a logical sequence.
I don't know if that's because English is such a mishmash of Olde English, Latin and Old Germanic, but English works well enough if one is careful about transcribing it into equations....

First impulse is to leap to the answer -there's 60 kva of room left at .8 pf so answer is 48.

That was my first answer but i think it's wrong. Too much internet has made me impatient.

Going back to ninth grade algebra and geometry,
We started with just a line - no imaginary component.
Adding some kva at an angle changed our line into a triangle that represents our real(kw) and imaginary(kvar) and total(kva) components.

specifically, a right triangle whose hypotenuse is 100 kva
and whose two sides represent real and imaginary power,, kilowatts and kilovars respectively.

so :
let x = real kw to be added.
PF of .8 defines a 3-4-5 right triangle,
so if x kw of real power are added,
then (3/4)x kvar of imaginary power are added
and (5/4)x of total kva are added ;

Yeah, this is exactly why I asked. I felt as though it was worded awkwardly; in a way that none of my textbooks have ever worded a problem. I see where you are coming from, though.
I drew a phasor diagram, ended up with two triangles, then applied Sine Law and ultimately ended up with the same result as you! Regards!